Simplify (1/(a+1)+1)/(3/(a-1)+1)

Math
Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Rewrite as .
Multiply by .
Multiply by .
Add and .
Add and .
Multiply by .
Subtract from .
Reorder terms.
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Simplify the denominator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify (1/(a+1)+1)/(3/(a-1)+1)
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